12th Class
Mathematics
Sample Paper
Maths Olympiad Model Paper-1
question_answer
Let a, b, c be non-zero real numbers such that \[\int_{0}^{1}{(1+{{\cos }^{8}}x)\,\,(a{{x}^{2}}+bx+c)\,\,dx}=\]\[\int_{0}^{2}{(1+co{{s}^{8}}\,\,x)\,\,(a{{x}^{2}}+bx+c)\,\,dx}\] Then, the quadratic equation \[a{{x}^{2}}+bx+c=0\]has: